Global Constrained Holdability of Discrete Time Systems

Global constrained holdability of a discrete time system is considered. This problem is concerned with determining if for every initial state in a given convex holding set, there exists a control, subject to specified magnitude constraints, which keeps the state of the system in the holding set. A condition for checking global constrained holding is presented. A method for computing a control, subject to specified magnitude constraints, which holds the state of the system in the holding set for a prescribed initial state is also given.